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Finding the Third Proportional to 22,151.53 and 47,993.63

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Solution

The third proportional to 22,151.53 and 47,993.63 is: 103,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,151.53 : 47,993.63 = 47,993.63 : x
  2. Step 2: Convert to fraction form
    22,151.53/47,993.63 = 47,993.63/x
  3. Step 3: Cross multiply
    22,151.53x = 47,993.63 × 47,993.63
  4. Step 4: Simplify right side
    22,151.53x = 2,303,388,040.64
  5. Step 5: Solve for x
    x = 2,303,388,040.64/22,151.53
  6. Step 6: Final answer
    x = 103,983.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.